Mathematics

This is an implicit differentiation problem—you're finding a slope when $y$ isn't solved for explicitly. The key insight is to differentiate both sides with respect to $x$, treating $y$ as a function of $x$ and applying the chain rule and product rule as needed. Once you have an expression for $\frac{dy}{dx}$, substitute the point $(2,3)$ to get the slope at that specific location.

This is an implicit differentiation problem—you're finding a slope when $y$ isn't solved for explicitly. The key insight is to differentiate both sides with respect to $x$, treating $y$ as a function of $x$ and applying the chain rule and product rule as needed. Once you have an expression for $\frac{dy}{dx}$, substitute the point $(2,3)$ to get the slope at that specific location.